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12021311320101 = 328915007879301
BaseRepresentation
bin1010111011101110110111…
…1111011011000000100101
31120120020002212002100001100
42232323231333123000211
53033424121144220401
641322303021350313
72350340205155046
oct256735577330045
946506085070040
1012021311320101
113915233933046
121421988a08399
136927b2966b75
142d7b980d08cd
1515ca7dd65b86
hexaeeedfdb025

12021311320101 has 12 divisors (see below), whose sum is σ = 17559218783340. Its totient is φ = 7924160270400.

The previous prime is 12021311320013. The next prime is 12021311320141. The reversal of 12021311320101 is 10102311312021.

12021311320101 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 311 + 320 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2103384593025 + 9917926727076 = 1450305^2 + 3149274^2 .

It is not a de Polignac number, because 12021311320101 - 214 = 12021311303717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021311320141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7503938850 + ... + 7503940451.

It is an arithmetic number, because the mean of its divisors is an integer number (1463268231945).

Almost surely, 212021311320101 is an apocalyptic number.

It is an amenable number.

12021311320101 is a deficient number, since it is larger than the sum of its proper divisors (5537907463239).

12021311320101 is a wasteful number, since it uses less digits than its factorization.

12021311320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007879396 (or 15007879393 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12021311320101 its reverse (10102311312021), we get a palindrome (22123622632122).

The spelling of 12021311320101 in words is "twelve trillion, twenty-one billion, three hundred eleven million, three hundred twenty thousand, one hundred one".

Divisors: 1 3 9 89 267 801 15007879301 45023637903 135070913709 1335701257789 4007103773367 12021311320101